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Sobolev-Type Classes of Functions with Values in a Metric Space. II

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Abstract

We prove equivalence of the definitions by the author and by Korevaar and Schoen of the Sobolev classes of mappings of a domain of an arithmetic n-dimensional space to a metric space.

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References

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Novosibirsk

    Yu. G. Reshetnyak

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  1. Yu. G. Reshetnyak
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Reshetnyak, Y.G. Sobolev-Type Classes of Functions with Values in a Metric Space. II. Siberian Mathematical Journal 45, 709–721 (2004). https://doi.org/10.1023/B:SIMJ.0000035834.03736.b6

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  • DOI: https://doi.org/10.1023/B:SIMJ.0000035834.03736.b6

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